---
_id: '42805'
abstract:
- lang: eng
  text: Following an idea of B. H. Gross, who presented an elliptic curve test for
    Mersenneprimes Mₚ=2ᵖ−1, we propose a similar test with elliptic curves for generalizedThabit
    primesK(h, n) := h·2ⁿ−1 for any positive odd number h and any integer n> log₂(h)+2.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: Michael H.
  full_name: Mertens, Michael H.
  last_name: Mertens
citation:
  ama: 'Kirschmer M, Mertens MH. On an analogue to the Lucas-Lehmer-Riesel test using
    elliptic curves. In: <i>Integers</i>. DE GRUYTER; 2013. doi:<a href="https://doi.org/10.1515/9783110298161.212">10.1515/9783110298161.212</a>'
  apa: Kirschmer, M., &#38; Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel
    test using elliptic curves. In <i>Integers</i>. DE GRUYTER. <a href="https://doi.org/10.1515/9783110298161.212">https://doi.org/10.1515/9783110298161.212</a>
  bibtex: '@inbook{Kirschmer_Mertens_2013, title={On an analogue to the Lucas-Lehmer-Riesel
    test using elliptic curves}, DOI={<a href="https://doi.org/10.1515/9783110298161.212">10.1515/9783110298161.212</a>},
    booktitle={Integers}, publisher={DE GRUYTER}, author={Kirschmer, Markus and Mertens,
    Michael H.}, year={2013} }'
  chicago: Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel
    Test Using Elliptic Curves.” In <i>Integers</i>. DE GRUYTER, 2013. <a href="https://doi.org/10.1515/9783110298161.212">https://doi.org/10.1515/9783110298161.212</a>.
  ieee: M. Kirschmer and M. H. Mertens, “On an analogue to the Lucas-Lehmer-Riesel
    test using elliptic curves,” in <i>Integers</i>, DE GRUYTER, 2013.
  mla: Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel
    Test Using Elliptic Curves.” <i>Integers</i>, DE GRUYTER, 2013, doi:<a href="https://doi.org/10.1515/9783110298161.212">10.1515/9783110298161.212</a>.
  short: 'M. Kirschmer, M.H. Mertens, in: Integers, DE GRUYTER, 2013.'
date_created: 2023-03-07T08:51:46Z
date_updated: 2023-04-04T09:17:32Z
department:
- _id: '102'
doi: 10.1515/9783110298161.212
extern: '1'
language:
- iso: eng
publication: Integers
publication_identifier:
  isbn:
  - '9783110298116'
publication_status: published
publisher: DE GRUYTER
status: public
title: On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves
type: book_chapter
user_id: '93826'
year: '2013'
...